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Finding the Third Proportional to 186,921.56 and 411,207.75

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Solution

The third proportional to 186,921.56 and 411,207.75 is: 904,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,921.56 : 411,207.75 = 411,207.75 : x
  2. Step 2: Convert to fraction form
    186,921.56/411,207.75 = 411,207.75/x
  3. Step 3: Cross multiply
    186,921.56x = 411,207.75 × 411,207.75
  4. Step 4: Simplify right side
    186,921.56x = 169,091,813,660.06
  5. Step 5: Solve for x
    x = 169,091,813,660.06/186,921.56
  6. Step 6: Final answer
    x = 904,613.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.